Accumulated Other Comprehensive Loss - Summary of Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 02, 2023	Jul. 03, 2022	Jun. 27, 2021
Other comprehensive income (loss):
Foreign currency translation adjustments, Pre-tax	$ 5,714	$ (7,125)	$ 9,368
Changes in interest rate swaps, net of reclassification adjustments, Pre-tax		1,234	1,316
Other comprehensive income (loss) , net	5,714	(5,891)	10,684
Changes in interest rate swaps, net of reclassification adjustments, Tax	0	(282)	(310)
Other comprehensive income (loss), net		(282)	(310)
Foreign currency translation adjustments	5,714	(7,125)	9,368
Changes in interest rate swaps, net of reclassification adjustments, After-tax		952	1,006
Other comprehensive income (loss), net	$ 5,714	$ (6,173)	$ 10,374